Question

Nicholas sent a chain letter to his friends, asking them to forward the letter to more friends. Every 12 weeks, the number of people who receive the email increases by an additional 99%, percent, and can be modeled by a function, P, which depends on the amount of time, t (in weeks). Nicholas initially sent the chain letter to 50 friends.

Answer 1

Answer:

$P(t)=50(1.99)^{t/12}$

Step-by-step explanation:

The problem can be modeled by using the compound growth formula.

Given, Initial number P_0 of people who Nicholas sent the chain letter t=50

The growth rate, r =99%=0.99

Period of Growth,k =12 Weeks

$P(t)=P_0(1+r)^{t/k}$

Therefore, in any week (t) after Nicholas initially sent the mail, the number of people who receive the email is modeled by the function:

$P(t)=50(1+0.99)^{t/12}\\\\P(t)=50(1.99)^{t/12}$